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Nonlinear stability of timber column strengthened with fiber reinforced polymer

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Abstract

By taking into account the effect of the bi-modulus for tension and compression of the fiber reinforced polymer (FRP) sheet in the reinforcement layer, a general mathematical model for the nonlinear bending of a slender timber beam strengthened with the FRP sheet is established under the hypothesis of the large deflection deformation of the beam. Nonlinear governing equations of the second order effect of the beam bending are derived. The nonlinear stability of a simply-supported slender timber column strengthened with the FRP sheet is then investigated. An expression of the critical load of the simply-supported FRP-strengthened timber beam is obtained. The existence of postbuckling solution of the timber column is proved theoretically, and an asymptotic analytical solution of the postbuckling state in the vicinity of the critical load is obtained using the perturbation method. Parameters are studied showing that the FRP reinforcement layer has great influence on the critical load of the timber column, and has little influence on the dimensionless postbuckling state.

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Authors and Affiliations

  1. Department of Civil Engineering, Shanghai University, Shanghai, 200072, P. R. China

    Yu Ouyang  (欧阳煜), Xiao Yang  (杨 骁) & Ruo-han Bao  (包若涵)

Authors
  1. Yu Ouyang  (欧阳煜)
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  2. Xiao Yang  (杨 骁)
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  3. Ruo-han Bao  (包若涵)
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Corresponding author

Correspondence to Xiao Yang  (杨 骁).

Additional information

Communicated by Wei-qiu CHEN

Project supported by the National High Technology Research and Development Program (No. 2009AA032303-2)

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Ouyang, Y., Yang, X. & Bao, Rh. Nonlinear stability of timber column strengthened with fiber reinforced polymer. Appl. Math. Mech.-Engl. Ed. 32, 903–916 (2011). https://doi.org/10.1007/s10483-011-1468-7

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  • DOI: https://doi.org/10.1007/s10483-011-1468-7

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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